w+3-3(-5w-1)=2(w-6)

Solution for w+3-3(-5w-1)=2(w-6) equation:

Simplifying
w + 3 + -3(-5w + -1) = 2(w + -6)

Reorder the terms:
w + 3 + -3(-1 + -5w) = 2(w + -6)
w + 3 + (-1 * -3 + -5w * -3) = 2(w + -6)
w + 3 + (3 + 15w) = 2(w + -6)

Reorder the terms:
3 + 3 + w + 15w = 2(w + -6)

Combine like terms: 3 + 3 = 6
6 + w + 15w = 2(w + -6)

Combine like terms: w + 15w = 16w
6 + 16w = 2(w + -6)

Reorder the terms:
6 + 16w = 2(-6 + w)
6 + 16w = (-6 * 2 + w * 2)
6 + 16w = (-12 + 2w)

Solving
6 + 16w = -12 + 2w

Solving for variable 'w'.

Move all terms containing w to the left, all other terms to the right.

Add '-2w' to each side of the equation.
6 + 16w + -2w = -12 + 2w + -2w

Combine like terms: 16w + -2w = 14w
6 + 14w = -12 + 2w + -2w

Combine like terms: 2w + -2w = 0
6 + 14w = -12 + 0
6 + 14w = -12

Add '-6' to each side of the equation.
6 + -6 + 14w = -12 + -6

Combine like terms: 6 + -6 = 0
0 + 14w = -12 + -6
14w = -12 + -6

Combine like terms: -12 + -6 = -18
14w = -18

Divide each side by '14'.
w = -1.285714286

Simplifying
w = -1.285714286